Question

Task 3: Answer the following: a. Evaluate: Siz cos(x) sin?(x) dx (10 Marks) b. The moment of inertia, I, of a rod of mass m

Z=61

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Answer #1

T a) let I - 61 Cos) si de 61 Cos(x) Sin Welse 2. 1/2 feast we will evaluate the Ondefinite integral s are cos asin asolu thelet U= sin(x) du Cose) i dx= I du cos(x) dre or du = cos adx Ja u (u ²-Dolu imela sud de 8 1 615 +6lu tc 3 fison & x) +618**)61 Sin ² - 61 sin (x) + c 3 00:42 Va 761 GL Gon Plan ) - sa fb) – 54song 3-s 3 to 61 ()-4 (0-1) -61 + 61 3 5 15 required anseI- 40 16/m xelx 28 - 47 Glm 20 & dix 6/M an is a anstant Since my v 3 40 61 m 27 au contents] 3 61 XL 20 3 (- (49) ² 03) GL (area bounded by the the region carne y = 616, the x-anis and Coonellates 0-0, x=6 is green by ble ase 0 Accurate area Sobre 6122, (23-1) integral con 2328.435505 D ausing Approsimate ared Trapezzoidal quale Thepexordal fulls Plates that Safecor an Agwith the follofag endporitt a=o ,,., 22, 22,6=6 Now, we gust evaluate the Jamebion at o flers) = f(a) = f@) = 61 * 2 f@)-2 f@2332.7997 Actual area 2328.4355 ban approni mate area = 2332 · 1997 ergon in approculcation - /actual approximatel 2328.4355-Thank you.

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Z=61 Task 3: Answer the following: a. Evaluate: Siz cos(x) sin?(x) dx (10 Marks) b. The...
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